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Finding the Fourth Proportional to 1,128.67, 1,693.14 and 479.19

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Solution

The fourth proportional to 1,128.67, 1,693.14 and 479.19 is: 718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.67 : 1,693.14 = 479.19 : x
  2. Step 2: Convert to fraction form
    1,128.67/1,693.14 = 479.19/x
  3. Step 3: Cross multiply
    1,128.67x = 1,693.14 × 479.19
  4. Step 4: Simplify right side
    1,128.67x = 811,335.76
  5. Step 5: Solve for x
    x = 811,335.76/1,128.67
  6. Step 6: Final answer
    x = 718.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.